Certain new proportional and Hadamard proportional fractional integral inequalities

Abstract

Abstract The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional integral. We establish certain inequalities concerning one- and two-parameter proportional and Hadamard proportional fractional integrals. We also discuss certain particular cases.

Keywords

• Fractional integrals
• Proportional fractional integrals
• Hadamard proportional fractional integrals
• Fractional integral inequalities
• Chebyshev functional